The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  1  1  1  2  1  1  1  2  0
 0  1  1  0  1  1  0  7  1  0  3  3  0  5  1  2  2  7  0  1
 0  0  2  0  0  0  0  0  0  0  0  0  2  2  4  2  4  4  2  2
 0  0  0  2  0  0  0  2  0  4  2  6  2  6  4  0  6  2  4  0
 0  0  0  0  2  0  0  0  2  4  6  0  2  4  2  6  2  4  6  0
 0  0  0  0  0  2  0  2  2  2  4  4  2  0  0  2  6  0  6  0
 0  0  0  0  0  0  2  2  4  2  0  2  0  4  0  4  0  4  2  2

generates a code of length 20 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+183x^12+4x^13+832x^14+336x^15+3099x^16+2796x^17+9384x^18+9192x^19+13902x^20+9052x^21+9480x^22+2880x^23+3122x^24+308x^25+760x^26+8x^27+171x^28+24x^30+2x^32

The gray image is a code over GF(2) with n=80, k=16 and d=24.
This code was found by Heurico 1.16 in 21.7 seconds.